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Semilattice Structures of Spreading Models

Authors :
Leung, Denny H.
Tang, Wee-Kee
Publication Year :
2007

Abstract

Given a Banach space X, denote by SP_{w}(X) the set of equivalence classes of spreading models of X generated by normalized weakly null sequences in X. It is known that SP_{w}(X) is a semilattice, i.e., it is a partially ordered set in which every pair of elements has a least upper bound. We show that every countable semilattice that does not contain an infinite increasing sequence is order isomorphic to SP_{w}(X) for some separable Banach space X.

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.0708.3126
Document Type :
Working Paper